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Finding the Third Proportional to 75,578,040,071 and 162,372,065,038

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Solution

The third proportional to 75,578,040,071 and 162,372,065,038 is: 348,840,582,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578,040,071 : 162,372,065,038 = 162,372,065,038 : x
  2. Step 2: Convert to fraction form
    75,578,040,071/162,372,065,038 = 162,372,065,038/x
  3. Step 3: Cross multiply
    75,578,040,071x = 162,372,065,038 × 162,372,065,038
  4. Step 4: Simplify right side
    75,578,040,071x = 26,364,687,504,704,503,021,568
  5. Step 5: Solve for x
    x = 26,364,687,504,704,503,021,568/75,578,040,071
  6. Step 6: Final answer
    x = 348,840,582,263.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.